13=2w+3(w+6)

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Solution for 13=2w+3(w+6) equation: 


Simplifying
13 = 2w + 3(w + 6)

Reorder the terms:
13 = 2w + 3(6 + w)
13 = 2w + (6 * 3 + w * 3)
13 = 2w + (18 + 3w)

Reorder the terms:
13 = 18 + 2w + 3w

Combine like terms: 2w + 3w = 5w
13 = 18 + 5w

Solving
13 = 18 + 5w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-5w' to each side of the equation.
13 + -5w = 18 + 5w + -5w

Combine like terms: 5w + -5w = 0
13 + -5w = 18 + 0
13 + -5w = 18

Add '-13' to each side of the equation.
13 + -13 + -5w = 18 + -13

Combine like terms: 13 + -13 = 0
0 + -5w = 18 + -13
-5w = 18 + -13

Combine like terms: 18 + -13 = 5
-5w = 5

Divide each side by '-5'.
w = -1

Simplifying
w = -1

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